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solver91311 answered: 16856 problems
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logarithm/560479: Which of the following is expressed as a logarithm of the exponential form of 10 raised to the power of 7 1 solutions Answer 363904 by solver91311(16868)   on 2012-01-21 19:59:49 (Show Source): You can put this solution on YOUR website! Which of what 'following'? Use your head for something besides a hat rack, please. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/560477: 3. To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled. a. Write an equation using only one variable that could be used to solve for the constant of variation k. b. A biologist counted 12 white tail deer in a 100-acre parcel of land in a nature preserve. Find the constant of variation k. c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived at your answer. 1 solutions Answer 363902 by solver91311(16868)   on 2012-01-21 19:58:02 (Show Source): You can put this solution on YOUR website! a. (this counts as an equation in one variable because for any given habitat/population scenario, and are constants.) b. , -- plug the numbers into the formula in part a. c. -- use the you calculated in part b. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/560475: the width of a rectangler swimming pool is 11 meters less than the length,and perimeter is 94 meters .find its dimensions. 1 solutions Answer 363899 by solver91311(16868)   on 2012-01-21 19:51:09 (Show Source): You can put this solution on YOUR website! I just did this same problem for you, with slightly different numbers. Just follow the same process. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/560476: The length of a rectangler picture is 5 inches greater than twice the width. If the perimeter is 112 inches, find the dimensions of the frame. 1 solutions Answer 363897 by solver91311(16868)   on 2012-01-21 19:49:45 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it

Volume/560093: a company that manufactures dog food wishes to pack the food in closed cylindrical tins what should be the dimensions of each tin of each is to have a volume of 128 1 solutions Answer 363677 by solver91311(16868)   on 2012-01-20 15:39:41 (Show Source): You can put this solution on YOUR website! Impossible to tell. There are infinite answers to this question as posed. You need an additional constraint such as a fixed radius, a fixed height, or perhaps the requirement to minimize the surface area (i.e., make the can as cheaply as possible.) John My calculator said it, I believe it, that settles it

Matrices-and-determiminant/560095: Solve the following system of equations, using the augmented matrix method. You must reduce the matrix to its row reduced echelon form and write out the complete solution to the system. x+2y-z= -3 3x+y+z=8 2x-2y+2z=12 1 solutions Answer 363662 by solver91311(16868)   on 2012-01-20 14:43:09 (Show Source): You can put this solution on YOUR website! That is at least an hour of work rendering the complete solution on this site. How much are you willing to pay? John My calculator said it, I believe it, that settles it

Linear-equations/560094: I need to find the equation of the line containing the point(-3,2) parallel to y=5. I'm stuck... 1 solutions Answer 363660 by solver91311(16868)   on 2012-01-20 14:41:18 (Show Source): You can put this solution on YOUR website! The line , is a line where ALL of the ordered pairs have a -coordinate equal to 5, in other words a horizontal line. Horizontal lines have a zero slope. Parallel lines have identical slopes, so any line parallel to a horizontal line has to have a zero slope and will have an equation of the form where is the coordinate of ANY point on that line. Since the desired line contains the point , then an equation that represents this line is John My calculator said it, I believe it, that settles it

Polygons/560070: the interior angle of a pentagon are in the ratio 4:5:6:7:5 find each angle of a pentagon. 1 solutions Answer 363657 by solver91311(16868)   on 2012-01-20 14:34:59 (Show Source): You can put this solution on YOUR website! Determine the sum of the measures of the internal angles of any pentagon by using the formula where because this is a pentagon. Then determine the constant of proportionality, , by adding all of the proportion numbers, that is 4 + 5 + 6 + 7 + 5 and then dividing the sum of the interior angle measures by the sum of the proportion numbers. Then the measures of the angles are , , , , and John My calculator said it, I believe it, that settles it

Word_Problems_With_Coins/560086: How many ways can I get $5.55 in us currency 1 solutions Answer 363655 by solver91311(16868)   on 2012-01-20 14:27:27 (Show Source): You can put this solution on YOUR website! It depends on what you are willing to do for it. John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/560077: how to solve 136 divided by 8.5 i know its 16 but how do u get it? 1 solutions Answer 363651 by solver91311(16868)   on 2012-01-20 14:13:38 (Show Source): You can put this solution on YOUR website! Move your decimal point one place to the right on both the divisor and the dividend. So you will end up dividing 1360 by 85. John My calculator said it, I believe it, that settles it

Probability-and-statistics/559724: two numbers were rolled 100 times. A sum of less than 5 appeared 18 times. 1 solutions Answer 363503 by solver91311(16868)   on 2012-01-19 18:17:52 (Show Source): You can put this solution on YOUR website! Yeah, so what? John My calculator said it, I believe it, that settles it

Length-and-distance/559702: the coordinate of p are (-2,5) and the coordinates of q are (6,1). a.what is the slope of pq? b.what is the equation? c.what are the coordinates of the mp of pq? d. what is the eqquation of the perpendicular bisector of pq? 1 solutions Answer 363500 by solver91311(16868)   on 2012-01-19 18:05:22 (Show Source): You can put this solution on YOUR website! a. use the slope formula: where and are the coordinates of points P and Q. b. Presuming you mean "what is AN equation of the line containing the segment PQ", use the point-slope form of an equation of a line: where are the coordinates of either point P or point Q and is the slope calculated in part a. c. Use the midpoint formulas: and where and are the coordinates of points P and Q. Then the midpoint is the point d. Again, presuming you mean "AN equation": The perpendicular bisector of PQ is the line perpendicular to PQ that passes through the midpoint. The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. Calculate the negative reciprocal of the slope that you calculated in part a, that is calculate . Then use the point-slope form of an equation of a line to derive the desired equation: where are the coordinates of the midpoint of segment PQ and is the negative reciprocal of the slope calculated in part a. John My calculator said it, I believe it, that settles it

�t�e�s�t/559686: Please help me answer this question. Thank you. plot points and find slope (1/4, -2) (-3/8, 1) 1 solutions Answer 363494 by solver91311(16868)   on 2012-01-19 17:13:59 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it

Rectangles/559640: The length of a rectangle is one less than twice the width. The perimeter is 40 in. Find the dimensions of the rectangle 1 solutions Answer 363483 by solver91311(16868)   on 2012-01-19 16:27:08 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: inches, , and . Do the arithmetic. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/559631: It takes me 20 minutes to drive to work when I drive 50mph. How long will it take me to get to work if I drive 40mph instead of 50? 1 solutions Answer 363482 by solver91311(16868)   on 2012-01-19 16:21:55 (Show Source): You can put this solution on YOUR website! 20 minutes is hour, so, since Distance = Rate * Time, we can say the distance to work is miles. Then since Time = Distance / Rate, we can say the time to go miles at 40 miles per hour is hours. But since hours is minutes, you can caculate the number of minutes it will take. John My calculator said it, I believe it, that settles it

Sequences-and-series/559630: what would the 7th pattern be to the following sequence: 1, 1+4=5, 1+4+9=14 1 solutions Answer 363479 by solver91311(16868)   on 2012-01-19 16:14:36 (Show Source): You can put this solution on YOUR website! You want John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/559626: Carol spends 17 hours in a 2-week period practicing her culinary skills.How many hours does she practice in 5 weeks? 1 solutions Answer 363477 by solver91311(16868)   on 2012-01-19 16:08:50 (Show Source): You can put this solution on YOUR website! 17 divided by 2 is 8.5. 8.5 times 5 is... John My calculator said it, I believe it, that settles it

Triangles/558814: An isosceles triangle has a base of 15. If the sides are a whole number, whats the smallest possible value form? 1 solutions Answer 363195 by solver91311(16868)   on 2012-01-17 23:30:51 (Show Source): You can put this solution on YOUR website! The sum of the measures of any two sides of a triangle must be STRICTLY greater than the measure of the third side. If the measure of either of the two equal measure sides is a whole number, then the sum of the two equal sides must be an even number. So what is the smallest even number that is strictly greater than 15? John My calculator said it, I believe it, that settles it

Expressions-with-variables/558796: I am sure this is easy and I am overlooking how to do this correctly can you please help??? Nathan wants to buy a sweatshirt and is trying to decide on the better buy. He has a 20 percent off coupon for the instore purchase. The store charges 42.00 for the sweatshirt that he wants to buy. He found the same one online for 38.00 and gets free shipping and 15 percent off. Which is the better buy and by how much?? use the Polya problem solving method. I know that the online purchase is the better buy but I cannot get the other part of it figured out. Thanks! 1 solutions Answer 363189 by solver91311(16868)   on 2012-01-17 23:14:09 (Show Source): You can put this solution on YOUR website! It is nothing more than comparing 80% of the in-store price (100% minus the 20% discount) to 85% of the on-line price (100% minus the 15% discount) John My calculator said it, I believe it, that settles it

Trigonometry-basics/558690: find the exact solution of 4sin^3x=3sinx 1 solutions Answer 363138 by solver91311(16868)   on 2012-01-17 20:29:56 (Show Source): You can put this solution on YOUR website! Divide both sides by Divide both sides by 4: Take the root of both sides: So: or John My calculator said it, I believe it, that settles it

Exponential-and-logarithmic-functions/558691: ln3+ln 6-9 in calculator ready form 1 solutions Answer 363132 by solver91311(16868)   on 2012-01-17 20:18:07 (Show Source): You can put this solution on YOUR website! What does "calculator ready form" mean? It looks perfectly ok to do on the calculator just like it is. John My calculator said it, I believe it, that settles it

test/558688: Solve one using elimination and one using substitution; 1)4x-y=10 -3x+y=-6 2)5x-3y=16 2x+7y=-10 1 solutions Answer 363128 by solver91311(16868)   on 2012-01-17 20:16:15 (Show Source): You can put this solution on YOUR website! Notice that the coefficient on in the first equation is the additive inverse of the coefficient on in the second equation. Just add the equations: Notice that the variable (in this case) is eliminated, hence the name Elimination Method. Substitute the calculated value back into either given equation: The solution set is John My calculator said it, I believe it, that settles it

Angles/558686: Hello..my name is Christopher Bush. I have a very diffult problem that my teacher has asked us to solve and know one seems to get it. We have the rest of the semester to do it but i do not think that I am getting anywhere. i have a square with four triangles in it. the 2 triangles on the left at right are equal. the triangle on the bottom is an acute triangle. And the Triangle on the top is and obtuse triangle. all we were given were two angles in the left and right corner of the triangle at the top, and they both are 15 degrees. ??? 1 solutions Answer 363126 by solver91311(16868)   on 2012-01-17 20:07:54 (Show Source): You can put this solution on YOUR website! Your description is insufficient. You need to find a way to provide the diagram. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/558683: the square root of 7 plus one divided by the square root of 7 minus 2? simplify 1 solutions Answer 363125 by solver91311(16868)   on 2012-01-17 20:05:56 (Show Source): You can put this solution on YOUR website! All you can do is rationalize the denominator. See my lesson on Rationalizing Denominators John My calculator said it, I believe it, that settles it

Quadratic-relations-and-conic-sections/558641: Find the polynomial equation with integer coefficients for the set of coplanar points described. For each point,its distance from the fixed point (-3,0) is twice its distance from the fixed point (3,0) 1 solutions Answer 363121 by solver91311(16868)   on 2012-01-17 19:59:21 (Show Source): You can put this solution on YOUR website! Let be a point on the desired locus. The distance from any point to the point is given by the distance formula: Similarly, the distance from any point to the point is given by: But we are also given that so: Square both sides: All you need to do is simplify, collect like terms, put everything of value on the left and a zero on the right and you are done. John My calculator said it, I believe it, that settles it

Rate-of-work-word-problems/558647: One crew can seal a parking lot in 8 hours and another in 10 hours. How long will it take to seal the parking lot if the two crews work together? 1 solutions Answer 363107 by solver91311(16868)   on 2012-01-17 19:14:51 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it

Equations/558621: I'm trying to figure out how t solve rational functions where you have to find the domain. The problem is f(x)= 5x over x-4 Can you please help 1 solutions Answer 363106 by solver91311(16868)   on 2012-01-17 19:11:49 (Show Source): You can put this solution on YOUR website! The domain of a rational function is all real numbers except any value for the variable that would cause the denominator to equal zero. Set the denominator equal to zero, solve for . Then the domain is all real numbers except for the values in the solution set you just calculated. John My calculator said it, I believe it, that settles it

Linear-equations/558554: Find (a)the equation of the line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Wright both answers in slope-intercept form. (c) Graph both of these lines on the same axes. Please show all of your work. y=-x+4,(-3,7) 1 solutions Answer 363099 by solver91311(16868)   on 2012-01-17 18:45:47 (Show Source): You can put this solution on YOUR website! Parallel lines have equal slopes. Perpendicular lines have slopes that are negative reciprocals. For your part a) note that the given point is on the given line. Therefore the desired equation is identical to the given equation. For your part b) calculate the negative reciprocal of the slope of the given line, then used the point slope form of an equation of a line to derive the desired equation. where are the coordinates of the given point and is the given/calculated slope. Rearrange to put the equation into slope-intercept form, that is: . For your graphs, you already have one point on each of your lines, namely the given point, so plot that point. Select a small integer value for , substitute that value for into one of your equations, calculate the value of that results, create the point from the value you selected for and the value you calculated for , then plot the point. Draw a line through the two points. Repeat for the other equation. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/558551: how much does 9.8 seconde in one hour? 1 solutions Answer 363085 by solver91311(16868)   on 2012-01-17 17:50:00 (Show Source): You can put this solution on YOUR website! What does that question mean? That makes no sense whatsoever. John My calculator said it, I believe it, that settles it

Triangles/558545: A side of an equilateral triangle is 3/8 cm long. What is the perimeter of the triangle 1 solutions Answer 363083 by solver91311(16868)   on 2012-01-17 17:47:15 (Show Source): You can put this solution on YOUR website! The perimeter of ANYTHING is the sum of the measures of the sides. An equilateral triangle has 3 equal sides. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/558547: If you travel 2.5 miles in 45 seconds how fast are you going? 1 solutions Answer 363078 by solver91311(16868)   on 2012-01-17 17:37:44 (Show Source): You can put this solution on YOUR website! 2.5 miles per 45 seconds. John My calculator said it, I believe it, that settles it